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5806080 = 2113457

5806080 has 240 divisors, whose sum is σ = 23783760. Its totient is φ = 1327104.

The previous prime is 5806069. The next prime is 5806081. The reversal of 5806080 is 806085.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)4.

5806080 is a `hidden beast` number, since 58 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829437 + ... + 829443.

It is an arithmetic number, because the mean of its divisors is an integer number (99099).

Almost surely, 25806080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891880).

5806080 is an abundant number, since it is smaller than the sum of its proper divisors (17977680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5806080 is an equidigital number, since it uses as much as digits as its factorization.

5806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5806080 is about 2409.5808764181. The cubic root of 5806080 is about 179.7329372932.

The spelling of 5806080 in words is "five million, eight hundred six thousand, eighty".